Question

How many solutions does the system of equations have?
6x+2y=-18
3x+y=24

Answer 1

To find the number of solutions for this system of equations, we can solve the system using any method, such as substitution or elimination.

Let's use the method of elimination to solve this system:

Multiply the second equation by 2 to make the coefficients of y in both equations the same:
2(3x + y) = 2(24)
6x + 2y = 48

Now, we have the system of equations:
6x + 2y = -18
6x + 2y = 48

We can see that the coefficients of x and y in both equations are the same, so we can't eliminate any variables. This means that the system of equations is inconsistent and has no solution.

Therefore, the system has no solution.